contestada

Which of the following statements is/are true? (5 points)
I.If f '(x) exists and is nonzero for all x, then f(1) ≠ f(0)
II.If f is differentiable for all x and f (-1) = f(1), then there is a number c, such that |c| < 1 and f '(c) = 0.
III.If f '(c) = 0, then f has a local maximum or minimum at x = c.



I only
II only
I and III only
I and II only

Respuesta :

Hagrid
Here are the statements:

I.If f '(x) exists and is nonzero for all x, then f(1) ≠ f(0) TRUE
II.If f is differentiable for all x and f (-1) = f(1), then there is a number c, such that |c| < 1 and f '(c) = 0. FALSE
III.If f '(c) = 0, then f has a local maximum or minimum at x = c. TRUE

So, the correct answer is I and III only.

Answer:

the answer would be I and II only

Step-by-step explanation:

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